Answer:
D
Step-by-step explanation:
x/(-6)+y/(-7)=1
7x+6y=-42
7x+6y+42=0
y=(-7/6)x-7
Answer:
a=72 and b=36
Step-by-step explanation:
A=2B
A-10-13=B+13
Answer:
3.5hour
Step-by-step explanation:
Average speed = Distance/Time
Given
Distance = 52 1/2 km
Speed = 15km/hr
Required
Time
Substitute the given values in the formula
Time = (52 1/2)/15
Time= 105/2 * 1/15
Time = 105/30
Time = 3.5hour
hence it will take 3.5hr to travel a distance of 52 1/2km
Answer:
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Step-by-step explanation:
This problem can be solved in several ways. The way I like is as follows.
Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:
21000(P) = 2215
P = 0.1055 or 10.55 %
This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is
10.55 = 4(1 – X) + 15X
Where X is the proportion of the loan given at the indicated interest. So
10.55 = 4 – 4X + 15X
6.55 = 11X
X = 0.5955
1-X = 0.4045
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Use the midpoint formula it’s pretty straightforward from there. (-4.5 , -2)
